30045820860 has 480 divisors, whose sum is σ = 106451718912. Its totient is φ = 7031162880.

The previous prime is 30045820811. The next prime is 30045820919. The reversal of 30045820860 is 6802854003.

It is a super-2 number, since 2×30045820860² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86587207 + ... + 86587553.

Almost surely, 2^30045820860 is an apocalyptic number.

30045820860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30045820860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53225859456).

30045820860 is an abundant number, since it is smaller than the sum of its proper divisors (76405898052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30045820860 is a wasteful number, since it uses less digits than its factorization.

30045820860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 30045820860 in words is "thirty billion, forty-five million, eight hundred twenty thousand, eight hundred sixty".